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Finding the Fourth Proportional to 12,587.70, 17,370.05 and 7,282.91

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Solution

The fourth proportional to 12,587.70, 17,370.05 and 7,282.91 is: 10,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.70 : 17,370.05 = 7,282.91 : x
  2. Step 2: Convert to fraction form
    12,587.70/17,370.05 = 7,282.91/x
  3. Step 3: Cross multiply
    12,587.70x = 17,370.05 × 7,282.91
  4. Step 4: Simplify right side
    12,587.70x = 126,504,517.86
  5. Step 5: Solve for x
    x = 126,504,517.86/12,587.70
  6. Step 6: Final answer
    x = 10,049.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.